diff --git a/_sources/source/theory/supportedEquationSet.rst.txt b/_sources/source/theory/supportedEquationSet.rst.txt
index b634d559b..d35141824 100644
--- a/_sources/source/theory/supportedEquationSet.rst.txt
+++ b/_sources/source/theory/supportedEquationSet.rst.txt
@@ -855,6 +855,41 @@ where :math:`\Omega` is the earth's angular velocity and :math:`\lambda` is the
.. _eqn_sst_des:
+Laminar-Turbulent Transition Model Formulation
+++++++++++++++++++++++++++++++++++++++++++++++
+To account for the effects of the laminar-turbulent boundary layer transition,
+Menter's one-equation :math:`\gamma` transition model :cite:`Menter:2015` is coupled with the SST model.
+The model consists of single transport equation for intermittency
+
+.. math::
+ \frac{D(\rho \gamma)}{Dt}=P_{\gamma}-D_{\gamma}+\frac{\partial }{\partial x_j}\left[ (\mu + \frac{\mu_t}{\sigma_{\gamma}} )\frac{\partial \gamma}{\partial x_j} \right]
+
+The production term, :math:`P_{\gamma}`, and destruction term, :math:`D_{\gamma}`, are as:
+
+.. math::
+ P_{\gamma}=F_{length} \rho S \gamma (1-\gamma) F_{onset}, \quad D_{\gamma}=C_{a2} \rho \Omega \gamma F_{turb} (C_{e2}\gamma-1)
+
+The model constants are:
+
+.. math::
+ F_{length}=100, \quad c_{e2}=50, \quad c_{a2}=0.06, \quad \sigma_{\gamma}=1.0
+
+The transition onset criteria of the model are defined as:
+
+.. math::
+ F_{onset1}=\frac{Re_{v}}{2.2Re_{\theta c}}, \quad F_{onset2}=(F_{onset1},2.0 )
+
+.. math::
+ F_{onset3}=\max \left(1- \left (\frac{R_{T}}{3.5}\right)^3,0 \right ), \quad F_{onset}=\max(F_{onset2}-F_{onset3},0)
+
+.. math::
+ F_{turb}=e^{-\left ( \frac{R_{T}}{2} \right )^{4}}, \quad R_T=\frac{\rho k}{\mu \omega}, \quad Re_v=\frac{\rho d_{w}^2S}{\mu}
+
+The transition onset occurs once the scaled vorticity Reynolds number, :math:`Re_{v}/2.2`, exceeds the critical momentum thickness Reynolds number, :math:`Re_{\theta c}`, from the empirical correlations.
+
+The output intermittency from the transition model is applied to both the production and destruction terms of the turbulent kinetic energy
+transport equation.
+
Detached Eddy Simulation (DES) Formulation
++++++++++++++++++++++++++++++++++++++++++
diff --git a/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c.html b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c.html
new file mode 100644
index 000000000..f5dc0a638
--- /dev/null
+++ b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c.html
@@ -0,0 +1,110 @@
+
+
+
+Nalu-Wind: SDRSSTBLTM2015NodeKernel.C File Reference
+
+
+
+
+
+
+ Nalu-Wind
+ v0.1.0
+
+ CFD solver for wind plant simulations
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
#include "node_kernels/SDRSSTBLTM2015NodeKernel.h"#include "Realm.h"#include "SolutionOptions.h"#include "SimdInterface.h"#include "utils/StkHelpers.h"#include "stk_mesh/base/MetaData.hpp"#include "stk_mesh/base/Types.hpp"
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+SDRSSTBLTM2015NodeKernel.C
+
+Node1
+
+SDRSSTBLTM2015NodeKernel.C
+
+
+
+
+Node2
+
+node_kernels/SDRSSTBLTM2015
+NodeKernel.h
+
+
+
+
+Node1->Node2
+
+
+
+Node3
+
+Realm.h
+
+
+
+
+Node1->Node3
+
+
+
+Node4
+
+SolutionOptions.h
+
+
+
+
+Node1->Node4
+
+
+
+Node5
+
+SimdInterface.h
+
+
+
+
+Node1->Node5
+
+
+
+Node6
+
+utils/StkHelpers.h
+
+
+
+
+Node1->Node6
+
+
+
+Node7
+
+stk_mesh/base/MetaData.hpp
+
+
+
+
+Node1->Node7
+
+
+
+Node8
+
+stk_mesh/base/Types.hpp
+
+
+
+
+Node1->Node8
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg
new file mode 100644
index 000000000..8734d8b4b
--- /dev/null
+++ b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg
@@ -0,0 +1,128 @@
+
+
+
+
+
+
+SDRSSTBLTM2015NodeKernel.C
+
+Node1
+
+SDRSSTBLTM2015NodeKernel.C
+
+
+
+
+Node2
+
+node_kernels/SDRSSTBLTM2015
+NodeKernel.h
+
+
+
+
+Node1->Node2
+
+
+
+Node3
+
+Realm.h
+
+
+
+
+Node1->Node3
+
+
+
+Node4
+
+SolutionOptions.h
+
+
+
+
+Node1->Node4
+
+
+
+Node5
+
+SimdInterface.h
+
+
+
+
+Node1->Node5
+
+
+
+Node6
+
+utils/StkHelpers.h
+
+
+
+
+Node1->Node6
+
+
+
+Node7
+
+stk_mesh/base/MetaData.hpp
+
+
+
+
+Node1->Node7
+
+
+
+Node8
+
+stk_mesh/base/Types.hpp
+
+
+
+
+Node1->Node8
+
+
+
diff --git a/api_docs/_specific_dissipation_rate_equation_system_8_c.html b/api_docs/_specific_dissipation_rate_equation_system_8_c.html
index e00a5f476..8679dcf61 100644
--- a/api_docs/_specific_dissipation_rate_equation_system_8_c.html
+++ b/api_docs/_specific_dissipation_rate_equation_system_8_c.html
@@ -117,6 +117,7 @@
#include <node_kernels/SDRSSTDESNodeKernel.h>#include <node_kernels/ScalarGclNodeKernel.h>#include <node_kernels/SDRKONodeKernel.h>#include <node_kernels/SDRSSTBLTM2015NodeKernel.h>#include "ngp_utils/NgpFieldBLAS.h"#include "ngp_algorithms/NodalGradEdgeAlg.h"#include "ngp_algorithms/NodalGradElemAlg.h"Nalu-Wind: TKESSTBLTM2015NodeKernel.C File Reference
+
+
+
+
+
+
+ Nalu-Wind
+ v0.1.0
+
+ CFD solver for wind plant simulations
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
#include "node_kernels/TKESSTBLTM2015NodeKernel.h"#include "Realm.h"#include "SolutionOptions.h"#include "SimdInterface.h"#include "utils/StkHelpers.h"#include "stk_mesh/base/MetaData.hpp"#include "stk_mesh/base/Types.hpp"
+
+
diff --git a/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5
new file mode 100644
index 000000000..93ea637b9
--- /dev/null
+++ b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5
@@ -0,0 +1 @@
+2333187576f145e078d519ab1c1f3001
\ No newline at end of file
diff --git a/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg
new file mode 100644
index 000000000..8d6601646
--- /dev/null
+++ b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg
@@ -0,0 +1,216 @@
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+TKESSTBLTM2015NodeKernel.C
+
+Node1
+
+TKESSTBLTM2015NodeKernel.C
+
+
+
+
+Node2
+
+node_kernels/TKESSTBLTM2015
+NodeKernel.h
+
+
+
+
+Node1->Node2
+
+
+
+Node3
+
+Realm.h
+
+
+
+
+Node1->Node3
+
+
+
+Node4
+
+SolutionOptions.h
+
+
+
+
+Node1->Node4
+
+
+
+Node5
+
+SimdInterface.h
+
+
+
+
+Node1->Node5
+
+
+
+Node6
+
+utils/StkHelpers.h
+
+
+
+
+Node1->Node6
+
+
+
+Node7
+
+stk_mesh/base/MetaData.hpp
+
+
+
+
+Node1->Node7
+
+
+
+Node8
+
+stk_mesh/base/Types.hpp
+
+
+
+
+Node1->Node8
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg
new file mode 100644
index 000000000..79be30826
--- /dev/null
+++ b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg
@@ -0,0 +1,128 @@
+
+
+
+
+
+
+TKESSTBLTM2015NodeKernel.C
+
+Node1
+
+TKESSTBLTM2015NodeKernel.C
+
+
+
+
+Node2
+
+node_kernels/TKESSTBLTM2015
+NodeKernel.h
+
+
+
+
+Node1->Node2
+
+
+
+Node3
+
+Realm.h
+
+
+
+
+Node1->Node3
+
+
+
+Node4
+
+SolutionOptions.h
+
+
+
+
+Node1->Node4
+
+
+
+Node5
+
+SimdInterface.h
+
+
+
+
+Node1->Node5
+
+
+
+Node6
+
+utils/StkHelpers.h
+
+
+
+
+Node1->Node6
+
+
+
+Node7
+
+stk_mesh/base/MetaData.hpp
+
+
+
+
+Node1->Node7
+
+
+
+Node8
+
+stk_mesh/base/Types.hpp
+
+
+
+
+Node1->Node8
+
+
+
diff --git a/api_docs/_turb_kinetic_energy_equation_system_8_c.html b/api_docs/_turb_kinetic_energy_equation_system_8_c.html
index cd992bcfe..9b4678795 100644
--- a/api_docs/_turb_kinetic_energy_equation_system_8_c.html
+++ b/api_docs/_turb_kinetic_energy_equation_system_8_c.html
@@ -124,6 +124,7 @@
#include <node_kernels/TKEKENodeKernel.h>#include <node_kernels/TKERodiNodeKernel.h>#include <node_kernels/TKEKONodeKernel.h>#include <node_kernels/TKESSTBLTM2015NodeKernel.h>#include <ngp_utils/NgpLoopUtils.h>#include <ngp_utils/NgpTypes.h>#include <ngp_utils/NgpFieldBLAS.h> file SDRSSTAMSNodeKernel.C file SDRSSTBLTM2015NodeKernel.C file SDRSSTDESNodeKernel.C file SDRSSTLRNodeKernel.C file TKESSTAMSNodeKernel.C file TKESSTBLTM2015NodeKernel.C file TKESSTDESNodeKernel.C file TKESSTIDDESNodeKernel.C SDRKONodeKernel.C SDRLowReWallAlg.C SDRSSTAMSNodeKernel.C SDRSSTDESNodeKernel.C SDRSSTLRNodeKernel.C SDRSSTNodeKernel.C SDRWallFuncAlg.C SDRWallFuncAlgDriver.C ShearStressTransportEquationSystem.C SideWriter.C Simulation.C SinProfileChannelFlowVelocityAuxFunction.C SloshingTankVOFAuxFunction.C SmartField.C SolutionNormPostProcessing.C SolutionOptions.C SolverAlgorithm.C SolverAlgorithmDriver.C SparsifiedEdgeLaplacian.C SpecificDissipationRateEquationSystem.C SpecificHeatPropertyEvaluator.C SSTAMSAveragesAlg.C SSTMaxLengthScaleAlg.C SSTMaxLengthScaleDriver.C SteadyTaylorVortexGradPressureAuxFunction.C SteadyTaylorVortexMomentumSrcNodeSuppAlg.C SteadyTaylorVortexPressureAuxFunction.C SteadyTaylorVortexVelocityAuxFunction.C StkHelpers.C StkSimdConnectivityMap.C StkSimdFaceConnectivityMap.C StkSimdGatheredElementData.C StkSimdNodeConnectivityMap.C StkToTpetraComm.C StkToTpetraLocalIndices.C StkToTpetraMap.C StreletsUpwindEdgeAlg.C StringTimeCoordFunction.C StringTimeCoordTemperatureAuxFunction.C StrongDirichletBC.C SupplementalAlgorithm.C SurfaceForceAndMomentAlgorithm.C SurfaceForceAndMomentAlgorithmDriver.C SurfaceForceAndMomentWallFunctionAlgorithm.C SutherlandsPropertyEvaluator.C SyntheticLidar.C TabulatedTemperatureAuxFunction.C TaylorGreenPressureAuxFunction.C TaylorGreenVelocityAuxFunction.C TDRKENodeKernel.C TemperaturePropAlgorithm.C Tet4CVFEM.C ThermalConductivityFromPrandtlPropAlgorithm.C TimeIntegrator.C TiogaBlock.C TiogaOptions.C TiogaRef.C TiogaSTKIface.C TKEKENodeKernel.C TKEKONodeKernel.C TKEKsgsNodeKernel.C TKERodiNodeKernel.C TKESSTAMSNodeKernel.C TKESSTDESNodeKernel.C TKESSTIDDESNodeKernel.C TKESSTLRNodeKernel.C TKESSTNodeKernel.C TKEWallFuncAlg.C TKEWallFuncAlgDriver.C TornadoAuxFunction.C TotalDissipationRateEquationSystem.C TpetraLinearSystem.C TpetraLinearSystemHelpers.C TpetraSegregatedLinearSystem.C Transfer.C Transfers.C TransportCoefficients.C Tri32DCVFEM.C Tri33DCVFEM.C TurbineSurrogateKernel.C TurbKineticEnergyEquationSystem.C TurbulenceAveragingPostProcessing.C TurbViscKEAlg.C TurbViscKOAlg.C TurbViscKsgsAlg.C TurbViscSmagorinskyAlgorithm.C TurbViscSSTAlg.C TurbViscSSTLRAlg.C TurbViscWaleAlgorithm.C UpdateOversetFringeAlgorithmDriver.C UtilitiesActuator.C VariableDensityContinuitySrcNodeSuppAlg.C VariableDensityMixFracAuxFunction.C VariableDensityMixFracSrcNodeSuppAlg.C VariableDensityMomentumSrcNodeSuppAlg.C VariableDensityNonIsoContinuitySrcNodeSuppAlg.C VariableDensityNonIsoEnthalpySrcNodeSuppAlg.C VariableDensityNonIsoMomentumSrcNodeSuppAlg.C VariableDensityNonIsoTemperatureAuxFunction.C VariableDensityPressureAuxFunction.C VariableDensityVelocityAuxFunction.C VOFAdvectionEdgeAlg.C VOFGclNodeKernel.C VOFMassBDFNodeKernel.C VolumeOfFluidEquationSystem.C WallDistEdgeSolverAlg.C WallDistElemKernel.C WallDistEquationSystem.C WallDistNodeKernel.C WallFricVelAlgDriver.C WallFuncGeometryAlg.C WaterPropertyEvaluator.C Wed6CVFEM.C WilcoxKOmegaEquationSystem.C WindEnergyPowerLawAuxFunction.C WindEnergyTaylorVortexAuxFunction.C WindEnergyTaylorVortexPressureAuxFunction.C ZalesakDiskMassFlowRateKernel.C ZalesakDiskVOFAuxFunction.C ZalesakSphereMassFlowRateKernel.C ZalesakSphereVOFAuxFunction.C SDRSSTBLTM2015NodeKernel.C SDRSSTDESNodeKernel.C SDRSSTLRNodeKernel.C SDRSSTNodeKernel.C SDRWallFuncAlg.C SDRWallFuncAlgDriver.C ShearStressTransportEquationSystem.C SideWriter.C Simulation.C SinProfileChannelFlowVelocityAuxFunction.C SloshingTankVOFAuxFunction.C SmartField.C SolutionNormPostProcessing.C SolutionOptions.C SolverAlgorithm.C SolverAlgorithmDriver.C SparsifiedEdgeLaplacian.C SpecificDissipationRateEquationSystem.C SpecificHeatPropertyEvaluator.C SSTAMSAveragesAlg.C SSTMaxLengthScaleAlg.C SSTMaxLengthScaleDriver.C SteadyTaylorVortexGradPressureAuxFunction.C SteadyTaylorVortexMomentumSrcNodeSuppAlg.C SteadyTaylorVortexPressureAuxFunction.C SteadyTaylorVortexVelocityAuxFunction.C StkHelpers.C StkSimdConnectivityMap.C StkSimdFaceConnectivityMap.C StkSimdGatheredElementData.C StkSimdNodeConnectivityMap.C StkToTpetraComm.C StkToTpetraLocalIndices.C StkToTpetraMap.C StreletsUpwindEdgeAlg.C StringTimeCoordFunction.C StringTimeCoordTemperatureAuxFunction.C StrongDirichletBC.C SupplementalAlgorithm.C SurfaceForceAndMomentAlgorithm.C SurfaceForceAndMomentAlgorithmDriver.C SurfaceForceAndMomentWallFunctionAlgorithm.C SutherlandsPropertyEvaluator.C SyntheticLidar.C TabulatedTemperatureAuxFunction.C TaylorGreenPressureAuxFunction.C TaylorGreenVelocityAuxFunction.C TDRKENodeKernel.C TemperaturePropAlgorithm.C Tet4CVFEM.C ThermalConductivityFromPrandtlPropAlgorithm.C TimeIntegrator.C TiogaBlock.C TiogaOptions.C TiogaRef.C TiogaSTKIface.C TKEKENodeKernel.C TKEKONodeKernel.C TKEKsgsNodeKernel.C TKERodiNodeKernel.C TKESSTAMSNodeKernel.C TKESSTBLTM2015NodeKernel.C TKESSTDESNodeKernel.C TKESSTIDDESNodeKernel.C TKESSTLRNodeKernel.C TKESSTNodeKernel.C TKEWallFuncAlg.C TKEWallFuncAlgDriver.C TornadoAuxFunction.C TotalDissipationRateEquationSystem.C TpetraLinearSystem.C TpetraLinearSystemHelpers.C TpetraSegregatedLinearSystem.C Transfer.C Transfers.C TransportCoefficients.C Tri32DCVFEM.C Tri33DCVFEM.C TurbineSurrogateKernel.C TurbKineticEnergyEquationSystem.C TurbulenceAveragingPostProcessing.C TurbViscKEAlg.C TurbViscKOAlg.C TurbViscKsgsAlg.C TurbViscSmagorinskyAlgorithm.C TurbViscSSTAlg.C TurbViscSSTLRAlg.C TurbViscWaleAlgorithm.C UpdateOversetFringeAlgorithmDriver.C UtilitiesActuator.C VariableDensityContinuitySrcNodeSuppAlg.C VariableDensityMixFracAuxFunction.C VariableDensityMixFracSrcNodeSuppAlg.C VariableDensityMomentumSrcNodeSuppAlg.C VariableDensityNonIsoContinuitySrcNodeSuppAlg.C VariableDensityNonIsoEnthalpySrcNodeSuppAlg.C VariableDensityNonIsoMomentumSrcNodeSuppAlg.C VariableDensityNonIsoTemperatureAuxFunction.C VariableDensityPressureAuxFunction.C VariableDensityVelocityAuxFunction.C VOFAdvectionEdgeAlg.C VOFGclNodeKernel.C VOFMassBDFNodeKernel.C VolumeOfFluidEquationSystem.C WallDistEdgeSolverAlg.C WallDistElemKernel.C WallDistEquationSystem.C WallDistNodeKernel.C WallFricVelAlgDriver.C WallFuncGeometryAlg.C WaterPropertyEvaluator.C Wed6CVFEM.C WilcoxKOmegaEquationSystem.C WindEnergyPowerLawAuxFunction.C WindEnergyTaylorVortexAuxFunction.C WindEnergyTaylorVortexPressureAuxFunction.C ZalesakDiskMassFlowRateKernel.C ZalesakDiskVOFAuxFunction.C ZalesakSphereMassFlowRateKernel.C ZalesakSphereVOFAuxFunction.C 17. Adaptivity", "4. Advection Stabilization", "9. Supported Boundary Conditions", "18. Code Abstractions", "12. Coupling Approach", "3. Discretization Approach", "Nalu-Wind - Theory Manual", "1. Low Mach Number Derivation", "14. Multi-Physics", "7. Nonlinear Stabilization Operator (NSO)", "10. Overset", "5. Pressure Stabilization", "11. Property Evaluations", "6. RTE Stabilization", "2. Supported Equation Set", "13. Time discretization", "16. Topological Support", "8. Turbulence Modeling", "15. Wind Energy Modeling", "Building Nalu-Wind Manually", "Building Nalu-Wind Semi-Automatically Using Spack", "Building Nalu-Wind", "User Manual", "Lessons Learned from Meshing the McAlister Case", "ABL Forcing", "Nalu-Wind Input File", "Exodus-II File Format", "Invoking Nalu-Wind - Command-line options", "Actuator Turbine Model", "Running Nalu-Wind", "Verifying that the installation of Nalu-Wind works", "Nalu-Wind - Verification Manual", "1. Introduction", "2. 2D Unsteady Uniform Property: Convecting Decaying Taylor Vortex", "References"], "titleterms": {"": 38, "0": 37, "1": [37, 38], "10": 37, "11": 37, "12": 37, "1x1x1": 51, "1x2x10": 51, "2": [4, 7, 37, 38], "2d": 51, "3": [4, 7, 37, 38], "3d": 51, "4": [37, 38], "5": 38, "6": [37, 38], "68": 37, "8": 37, "9": 37, "Of": 51, "One": [32, 35], "The": [29, 31], "With": 51, "abl": [7, 20, 32, 42, 43, 51], "abstract": 21, "access": 21, "accuraci": 51, "action": 12, "activ": 32, "actuat": [1, 36, 43, 46, 51], "ad": 14, "adapt": [18, 35, 37], "advect": 19, "algorithm": 36, "am": [20, 32], "applic": 51, "approach": [22, 23], "approxim": 36, "assembli": 28, "asymptot": 25, "atmospher": 20, "automat": 38, "auxiliari": 7, "averag": [32, 43], "base": [23, 27, 31, 51], "boost": 37, "boundari": [20, 36, 43, 51], "boussinesq": [32, 51], "bucket": 21, "build": [8, 37, 38, 39], "bulk": 21, "buoyanc": [32, 51], "capabl": 20, "case": [41, 48], "catalyst": 37, "cdash": 14, "cmake": [8, 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\ No newline at end of file
diff --git a/source/theory/index.html b/source/theory/index.html
index dbcb1bfec..78dafdfea 100644
--- a/source/theory/index.html
+++ b/source/theory/index.html
@@ -122,12 +122,13 @@ 2.9. Subgrid-Scale Kinetic Energy One-Equation LES Model 2.10. RANS Model Suite 2.11. Detached Eddy Simulation (DES) Formulation 2.12. Active Model Split (AMS) Formulation 2.13. Solid Stress 2.14. Moving Mesh 2.15. Radiative Transport Equation 2.16. Wall Distance Computation 2.11. Laminar-Turbulent Transition Model Formulation 2.12. Detached Eddy Simulation (DES) Formulation 2.13. Active Model Split (AMS) Formulation 2.14. Solid Stress 2.15. Moving Mesh 2.16. Radiative Transport Equation 2.17. Wall Distance Computation 3. Discretization Approach
diff --git a/source/theory/supportedEquationSet.html b/source/theory/supportedEquationSet.html
index fab3c64b8..eb09fbe76 100644
--- a/source/theory/supportedEquationSet.html
+++ b/source/theory/supportedEquationSet.html
@@ -74,19 +74,20 @@
2.10.2. SST Mixing Length Limiter
2.11. Detached Eddy Simulation (DES) Formulation 2.12. Active Model Split (AMS) Formulation
3. Discretization Approach 2.10.1. Shear Stress Transport (SST) For
where \(\Omega\) is the earth’s angular velocity and \(\lambda\) is the latitude.
+
+2.11. Laminar-Turbulent Transition Model FormulationTo account for the effects of the laminar-turbulent boundary layer transition,
+Menter’s one-equation \(\gamma\) transition model :cite:`Menter:2015`
+
+\[\frac{D(\rho \gamma)}{Dt}=P_{\gamma}-D_{\gamma}+\frac{\partial }{\partial x_j}\left[ (\mu + \frac{\mu_t}{\sigma_{\gamma}} )\frac{\partial \gamma}{\partial x_j} \right]\]
+The production term, \(P_{\gamma}\) , and destruction term, \(D_{\gamma}\) , are as:
+
+\[P_{\gamma}=F_{length} \rho S \gamma (1-\gamma) F_{onset}, \quad D_{\gamma}=C_{a2} \rho \Omega \gamma F_{turb} (C_{e2}\gamma-1)\]
+The model constants are:
+
+\[F_{length}=100, \quad c_{e2}=50, \quad c_{a2}=0.06, \quad \sigma_{\gamma}=1.0\]
+The transition onset criteria of the model are defined as:
+
+\[F_{onset1}=\frac{Re_{v}}{2.2Re_{\theta c}}, \quad F_{onset2}=(F_{onset1},2.0 )\]
+
+\[F_{onset3}=\max \left(1- \left (\frac{R_{T}}{3.5}\right)^3,0 \right ), \quad F_{onset}=\max(F_{onset2}-F_{onset3},0)\]
+
+\[F_{turb}=e^{-\left ( \frac{R_{T}}{2} \right )^{4}}, \quad R_T=\frac{\rho k}{\mu \omega}, \quad Re_v=\frac{\rho d_{w}^2S}{\mu}\]
+The transition onset occurs once the scaled vorticity Reynolds number, \(Re_{v}/2.2\) , exceeds the critical momentum thickness Reynolds number, \(Re_{\theta c}\) , from the empirical correlations.
+The output intermittency from the transition model is applied to both the production and destruction terms of the turbulent kinetic energy
+transport equation.
+
-2.13. Solid Stress2.14. Solid StressA fully implicit CVFEM (only) linear elastic equation is supported in
the code base. This equation is either used for true solid stress
prediction or for smoothing the mesh due to boundary mesh motion (either
@@ -1017,7 +1042,7 @@
2.13. Solid Stress\[v_i = \frac{\gamma_1 u^{n+1}_i + \gamma_2 u^n_i + \gamma_3 u^{n-1}_i}{\Delta t}\]
-2.14. Moving Mesh2.15. Moving MeshThe code base supports three notions of moving mesh: 1) linear elastic
equation system that computes the stress of a solid 2) solid body
rotation mesh motion and 3) mesh deformation via an external
@@ -1062,7 +1087,7 @@
2.14. Moving Mesh
-2.15. Radiative Transport Equation2.16. Radiative Transport EquationThe spatial variation of the radiative intensity corresponding to a
given direction and at a given wavelength within a radiatively
participating material, \(I(s)\) , is governed by the Boltzmann
@@ -1118,11 +1143,11 @@
-2.16. Wall Distance Computation2.17. Wall Distance ComputationRANS and DES simulations using \(k-\omega\) SST SST-DES wall
distance for computing various turbulence parameters. For static mesh
@@ -1156,7 +1181,7 @@
2.16. Wall Distance Computation:cite:`Tucker2003` \(d\) using the
+(:cite:`Tucker2003` \(d\) using the
gradients of a field \(\phi\) .
\[\begin{split}\nabla^2 \phi &= 1 \\
